Answer:
The correct inequality that can be used to find x, the number of minutes it will take for the solution to begin caramelizing, is:
B) 310 < 250 + 5x < 338
Step-by-step explanation:
- The initial temperature of the sugar solution is 250 degrees Fahrenheit.
- The temperature of the solution increases by 5 degrees per minute.
- The caramelization temperature range is greater than 310 and less than 338 degrees Fahrenheit.
To find the time x when the solution will begin caramelizing, we need to consider the following:
- The temperature of the solution at any time x will be 250 (initial temperature) plus 5x (increase of 5 degrees per minute).
- The solution starts caramelizing when its temperature is above 310 but below 338 degrees.
Therefore, the correct inequality is 310 < 250 + 5x < 338, which is represented by option B.